What are the coordinates of point B on AC such that AB = 2/5AC?

Step-by-step explanation:

Coordinates of points A and C are (-8, 6) and (2, 5).

If a point B intersects the segment AB in the ratio of 2 : 5

Then coordinates of the point B will be,

x =

and y =

where and are the coordinates of the extreme end of the segment and a point divides the segment in the ratio of m : n.

For the coordinates of point B,

x =

  =

y =

  =

Therefore, coordinates of pint B will be,